QM field separation principle

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SUMMARY

The QM field separation principle, while not widely recognized, appears to relate to the representation of tensor fields as a sum of symmetric and antimetric components. This principle may connect to products of spinor representations of the restricted Lorentz group and the Clebsch-Gordan theorem. The discussion highlights the need for precise terminology and references when exploring complex concepts in quantum mechanics. The lack of concrete references suggests that further investigation is necessary to clarify its implications and applications.

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  • Understanding of tensor fields and their properties
  • Familiarity with spinor representations of the restricted Lorentz group
  • Knowledge of the Clebsch-Gordan theorem
  • Basic concepts in quantum mechanics
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PerennialII
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QM field separation "principle"

I came across a term called "QM field separation "principle"" (or theorem, method etc.) and was left thinking, whether this is simply identifiable to general representation of fields (tensor ones typically) as a sum of their symmetric and antimetric components (like determining field properties by looking at it with respect to these 2 properties), or does it have something deeper in it ?
 
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PerennialII said:
I came across a term called "QM field separation "principle"" (or theorem, method etc.) and was left thinking, whether this is simply identifiable to general representation of fields (tensor ones typically) as a sum of their symmetric and antimetric components (like determining field properties by looking at it with respect to these 2 properties), or does it have something deeper in it ?

I'm sorry to disappoint u,but when you want an explanation to a notion,don't say "I came across..."and not state the exact words (the qoute really should imply an entire phrase,which should make sense),because,as i haven't heard of this principle u say (or maybe i have,but under other name),you'd leave the reader puzzling "Whatthe hell is that??"
Anyway,it may have a connection with products of spinor representations of the restricted Lorentz group and the Clebsch-Gordan theorem,or it may not.

Hoping u'd be taking my advice,

Daniel.
 
I'm sorry to disappoint u,but when you want an explanation to a notion,don't say "I came across..."and not state the exact words (the qoute really should imply an entire phrase,which should make sense),because,as i haven't heard of this principle u say (or maybe i have,but under other name),you'd leave the reader puzzling "Whatthe hell is that??"
Anyway,it may have a connection with products of spinor representations of the restricted Lorentz group and the Clebsch-Gordan theorem,or it may not.

Hoping u'd be taking my advice,

Daniel.

The whole issue surfaced in a discussion with a physics colleague at an airport running through a terminal :biggrin: (and I can't reach the guy for a couple of weeks or so)... so unfortunately it is a "came across" thing if there is one, without a really concrete reference. It's a bummer I know, but it's something I could use if it is a math tool developed and applied in the context. I haven't been able to link it to any theorem, so it's likely a representation ... got to dig.
 

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